diff --git a/math/s_ctanh.c b/math/s_ctanh.c
index fe38dae..ff2872b 100644
--- a/math/s_ctanh.c
+++ b/math/s_ctanh.c
@@ -68,6 +68,11 @@ __ctanh (__complex__ double x)
 
 	  res = (ez - emz) / (ez + emz);
 	}
+      else if (__isinf (den))
+        {
+	  __real__ res = __copysign (1.0, __real__ x);
+	  __imag__ res = __copysign (0.0, sin2ix);
+        }
       else
 	{
 	  __real__ res = __ieee754_sinh (2.0 * __real__ x) / den;
diff --git a/math/s_ctanhf.c b/math/s_ctanhf.c
index c331dba..84053c0 100644
--- a/math/s_ctanhf.c
+++ b/math/s_ctanhf.c
@@ -68,6 +68,11 @@ __ctanhf (__complex__ float x)
 
 	  res = (ez - emz) / (ez + emz);
 	}
+      else if (__isinff (den))
+        {
+	  __real__ res = __copysign (1.0, __real__ x);
+	  __imag__ res = __copysign (0.0, sin2ix);
+        }
       else
 	{
 	  __real__ res = __ieee754_sinhf (2.0 * __real__ x) / den;
diff --git a/math/s_ctanhl.c b/math/s_ctanhl.c
index 77ca8f8..672a3d1 100644
--- a/math/s_ctanhl.c
+++ b/math/s_ctanhl.c
@@ -68,6 +68,11 @@ __ctanhl (__complex__ long double x)
 
 	  res = (ez - emz) / (ez + emz);
 	}
+      else if (__isinfl (den))
+        {
+	  __real__ res = __copysign (1.0, __real__ x);
+	  __imag__ res = __copysign (0.0, sin2ix);
+        }
       else
 	{
 	  __real__ res = __ieee754_sinhl (2.0 * __real__ x) / den;